CIRM - Videos & books Library - Invariants of determinantal varieties

Post-edited

Auteurs : Ruas, Maria Aparecida Soares (Auteur de la conférence)
CIRM (Editeur )

Loading the player...

generic determinantal variety determinantal variety Essentially Isolated Determinantal Singularities (EIDS) essential smoothing matrices singularity theory singular fibration of an EIDS vanishing Euler characteristic d-polar multiplicity Nash transformation topology of Isolated Determinantal Singularities (IDS) sections of determinantal varieties

Résumé : We review basic results on determinantal varieties and show how to apply methods of singularity theory of matrices to study their invariants and geometry. The Nash transformation and the Euler obstruction of Essentially Isolated Determinantal Singularities (EIDS) are discussed. To illustrate the results we compute the Euler obstruction of corank one EIDS with non isolated singularities.

Codes MSC :
14B05 - Singularities
32S05 - Local singularities [See also 14J17]

Informations sur la Vidéo

Réalisateur :

Hennenfent, Guillaume

Langue :

Date de Publication :

Date de Captation :

Sous Collection :

Catégorie arXiv :

Domaine(s) :

Format :

Durée :

Audience :

Download :

https://videos.cirm-math.fr/2015-03-04_Ruas.mp4

Informations sur la Rencontre

Nom de la Rencontre : Geometry of singular spaces and maps / Géométrie des espaces et applications singuliers
Organisateurs de la Rencontre : Brasselet, Jean-Paul ; Pichon, Anne
Dates : 02/03/15 - 06/03/15
Année de la rencontre : 2015
URL de la Rencontre : https://conferences.cirm-math.fr/1478.html

Données de citation

DOI : 10.24350/CIRM.V.18718903
Citer cette vidéo: Ruas, Maria Aparecida Soares (2015). Invariants of determinantal varieties. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18718903
URI : http://dx.doi.org/10.24350/CIRM.V.18718903

Bibliographie

Frühbis-Krüger, A., & Zach, M. (2015). On the vanishing topology of isolated Cohen-Macaulay codimension 2 singularities. - http://arxiv.org/abs/1501.01915v1

Gaffney, T., & Rangachev, A. (2014). Pairs of modules and determinantal isolated singularities. - http://arxiv.org/abs/1501.00201v1

Gusein-Zade, S.M., & Ebeling, W. (2009). On indices of 1-forms on determinantal singularities. Singularities and Applications, 267(1), 119-131 - http://dx.doi.org/10.1134/s0081543809040099

Nutio-Ballesteros, J.J., Orefice Okamoto, B., & Tomazella, J.N. (2014). Equisingularity of families of isolated determinantal singularities. - http://arxiv.org/abs/1405.3403v1

Nutio-Ballesteros, J.J., Orefice Okamoto, B., & Tomazella, J.N. (2013). The vanishing Euler characteristic of an isolated determinantal singullarity, Israel Journal of Mathematics, 197(1), 475-495 - http://dx.doi.org/10.1007/s11856-012-0188-8

Ruas.jpg

Additional resource

Sélection Signaler une erreur

TUTELLES

PARTENAIRES

Destination de la recherche

Raccourcis